How can I calculate the voltage between two stationary electrons?

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    Electrons Voltage
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Discussion Overview

The discussion revolves around calculating the voltage between two stationary electrons separated by a certain distance. Participants explore the application of Coulomb's law and the concept of electric potential, with a focus on the mathematical approach to derive the voltage.

Discussion Character

  • Technical explanation
  • Mathematical reasoning
  • Homework-related

Main Points Raised

  • One participant suggests using Coulomb's law and integrating with respect to distance to calculate the voltage, expressing a desire for mathematical clarity.
  • Another participant reiterates the need to consider the electric field from multiple point charges and mentions that the voltage can be derived from the definition of voltage as a line integral from infinity to a point.
  • A different participant proposes applying the definition of potential difference and refers to introductory physics textbooks for guidance.
  • One participant points out that the perceived large value of voltage may stem from a misunderstanding of the relationship between potential difference and potential energy, suggesting that the voltage is significantly larger than the potential energy between two electrons.
  • This participant also advises against unnecessary complexity in calculations, indicating that the electric potential of a point charge is already well-established in textbooks.

Areas of Agreement / Disagreement

Participants express various approaches to the problem, with no consensus on a single method or resolution of the perceived discrepancies in voltage calculations.

Contextual Notes

Participants mention the need for integration and the relationship between electric potential and potential energy, but do not resolve the mathematical steps or assumptions involved in these calculations.

Zman
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How do I work out the voltage between two stationary electrons a given distance apart apart?
I understand the definition of a volt and I guess that I would need to use Coulomb's law and integrate with respect to distance. It would be great to see the maths though as the answer that I got seemed far too big.
 
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Zman said:
How do I work out the voltage between two stationary electrons a given distance apart apart?
I understand the definition of a volt and I guess that I would need to use Coulomb's law and integrate with respect to distance. It would be great to see the maths though as the answer that I got seemed far too big.
Electric field from multiple point charges is the sum of the field of the individual point charges. The same goes for the voltages, as long as the individual potentials tend to zero at infinity. This comes just from the definition of voltage as the line integral from infinity to a point, and from the linearity of integrals.
 
Zman said:
How do I work out the voltage between two stationary electrons a given distance apart apart?

You could apply the definition of potential difference, or just see where that leads in any introductory college-level physics textbook.
 
Zman said:
the answer that I got seemed far too big.
This could be because of your expectations. Potential Difference ('Voltage') describes the Work done on a Unit Charge (Coulomb) which would be considerably more (a factor of about 1020) than the Potential Energy between two electrons.
No need to get into integration when you are dealing with Electric Potential of a point charge; it's already been done for you in all the textbooks. Never do more complicated Maths than you really need to (or want to).
 

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